English

On the Maximum Distance Sublattice Problem and Closest Vector Problem

Computational Complexity 2024-10-02 v2 Cryptography and Security Data Structures and Algorithms

Abstract

In this paper, we introduce the Maximum Distance Sublattice Problem (MDSP). We observed that the problem of solving an instance of the Closest Vector Problem (CVP) in a lattice L\mathcal{L} is the same as solving an instance of MDSP in the dual lattice of L\mathcal{L}. We give an alternate reduction between the CVP and MDSP. This alternate reduction does not use the concept of dual lattice.

Cite

@article{arxiv.1811.03019,
  title  = {On the Maximum Distance Sublattice Problem and Closest Vector Problem},
  author = {Rajendra Kumar and Shashank K Mehta and Mahesh Sreekumar Rajasree},
  journal= {arXiv preprint arXiv:1811.03019},
  year   = {2024}
}

Comments

6 pages, Conference version SYNASC24

R2 v1 2026-06-23T05:07:59.963Z